Finding the Third Proportional to 83,301 and 179,907

Step by Step Solution

1. Step 1: Write the proportion equation
   83,301 : 179,907 = 179,907 : x
2. Step 2: Convert to fraction form
   83,301/179,907 = 179,907/x
3. Step 3: Cross multiply
   83,301x = 179,907 × 179,907
4. Step 4: Simplify right side
   83,301x = 32,366,528,649
5. Step 5: Solve for x
   x = 32,366,528,649/83,301
6. Step 6: Final answer
   x = 388,549.10